Determine whether g(x) = x^{3/2} − x^{2} + 2 is a polynomial. If it is, state its degree. If not, say why it is not a polynomial.

Brittney Lord

Brittney Lord

Answered question

2021-08-03

Determine whether g(x)=x32x2+2 is a polynomial. If it is, state its degree. If not, say why it is not a polynomial. If it is a polynomial, write it in standard form. Identify the leading term and the constant term.

Answer & Explanation

Mitchel Aguirre

Mitchel Aguirre

Skilled2021-08-04Added 94 answers

Step 1
To determine the degree of polynomial.
Step 2
Given:
g(x)=x32x2+2
Step 3
A polynomial is an expression of terms that involves mathematically operations like addition, subtraction, division and multiplication where the each term consists of variable and constant and the variables have non negative integer exponents.
The exponents of the variable x are 3/2 and 2 in the function g(x)=x32x2+2.
Since, x has non integer exponent 3/2 hence g(x) is not a polynomial.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-15Added 2605 answers

Answer is given below (on video)

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